What is i to the i-th power, namely i^i? Is it real? Is it possible to have imaginary^imaginary=real?
This is a classic complex numbers question and in fact i^i is real!
How about i^i^i? Check this out:    • tetration of i^i^i = ?  
Are you wondering about (a+bi)^(c+di) now? Here's the video    • the tetration of (1+i) and the (a+bi)...  

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